Chicago police said the 17-year-old boy shot Jackson, 43, inside her home on Thursday afternoon in the 6800-block of South Cornell Avenue.
He's accused of pulling out a gun and shooting Jackson in the head four times.
RELATED: Person of interest in custody after woman shot, killed inside South Shore home: Chicago police
Police said, the teen ran off but later turned himself in that same day. He was arrested at 9:59 p.m. in the 7000 blk. of S. Cottage Grove.
A gun was recovered from the scene, police said.
Person of interest in custody after woman shot, killed in home: CPD
It is not immediately clear if Jackson knew the shooter.
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